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Finding the Fourth Proportional to 1,500.92, 2,245.90 and 884.92

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Solution

The fourth proportional to 1,500.92, 2,245.90 and 884.92 is: 1,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.92 : 2,245.90 = 884.92 : x
  2. Step 2: Convert to fraction form
    1,500.92/2,245.90 = 884.92/x
  3. Step 3: Cross multiply
    1,500.92x = 2,245.90 × 884.92
  4. Step 4: Simplify right side
    1,500.92x = 1,987,441.83
  5. Step 5: Solve for x
    x = 1,987,441.83/1,500.92
  6. Step 6: Final answer
    x = 1,324.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.